Write 25 divided by 6 as a mixed number with the fraction in lowest terms

Mathematics

2 answers:

il63 [147K]3 years ago

8 0

Answer:

4 1/6

Step-by-step explanation:

Sunny_sXe [5.5K]3 years ago

8 0

Answer:

25 ÷ 6 = 4 and remainder = 1 =>

25 = 4 × 6 + 1 =>

25/6 =

(4 × 6 + 1) / 6 =

4 + 1/6 =

4 1/6

Step-by-step explanation:

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Estimate the integral ∫6,0 x^2dx by the midpoint estimate, n = 6

Anettt [7]

Splitting up the interval [0, 6] into 6 subintervals means we have

$[0,1]\cup[1,2]\cup[2,3]\cup\cdots\cup[5,6]$

and the respective midpoints are $\dfrac12,\dfrac32,\dfrac52,\ldots,\dfrac{11}2$ . We can write these sequentially as ${x_i}^*=\dfrac{2i+1}2$ where $0\le i\le5$ .

So the integral is approximately

$\displaystyle\int_0^6x^2\,\mathrm dx\approx\sum_{i=0}^5({x_i}^*)^2\Delta x_i=\frac{6-0}6\sum_{i=0}^5({x_i}^*)^2=\sum_{i=0}^5\left(\frac{2i+1}2\right)^2$

Recall that

$\displaystyle\sum_{i=1}^ni^2=\frac{n(n+1)(2n+1)}6$
$\displaystyle\sum_{i=1}^ni=\frac{n(n+1)}2$
$\displaystyle\sum_{i=1}^n1=n$

so our sum becomes

$\displaystyle\sum_{i=0}^5\left(\frac{2i+1}2\right)^2=\sum_{i=0}^5\left(i^2+i+\frac14\right)$
$=\displaystyle\frac{5(6)(11)}6+\frac{5(6)}2+\frac54=\frac{143}2$

8 0

3 years ago

A cafe only sells two types of sandwiches, turkey and steak. The cafe charges $4 for turkey sandwiches and $6 for steak sandwich

valkas [14]

Answer:

513 turkey sandwiches were sold.

Step-by-step explanation:

Let's use $x$ to represent turkey sandwiches and $y$ to represent steak sandwiches.